2014/10/21 by Serafina Lapenta, Ioana Leustean, Ioana Leuştean
Computer Science · Decision Sciences · Mathematics · #Advanced Algebra and Logic #Algebra over a field #Algebraic number #Discrete mathematics #Fuzzy and Soft Set Theory #Hausdorff space #Independence (probability theory) #Mathematical analysis #Mathematical economics #Mathematics #Moment (physics) #Probability measure #Pure mathematics #Representation theorem #Rough Sets and Fuzzy Logic #Statistics #math.LO
paper · pdf · doi:10.1016/j.fss.2015.08.008
published as Fuzzy Sets and Systems 298 (2016) 194-206
arxiv created 2014/10/21 · openalex publication_date 2015/08/19 · arxiv updated 2016/07/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We prove that any MV-algebra has a faithful state can be embedded in an \emfMV-algebra of integrable functions. As consequence, we prove Hölder's inequality and Hausdorff moment problem for MV-algebras with product and we propose a solution for the stochastic independence of probability MV-algebras.